The generator matrix 1 0 1 1 1 X+2 1 1 0 X+2 1 1 1 1 X 1 2 1 X+2 1 1 X+2 1 1 1 1 X 1 2 1 1 X 1 1 X 0 1 1 1 1 1 1 0 1 X 0 1 1 2 1 X 1 1 1 1 1 X 1 1 1 X+2 1 0 2 1 1 1 0 1 2 1 1 1 X 1 1 1 0 1 1 0 1 1 0 1 1 X X+3 1 1 X+3 2 X X+1 1 X 1 1 1 3 0 1 X+3 X 2 0 1 X+3 1 X+1 X+3 1 X+2 2 1 1 X+1 X+3 X+3 X+1 2 2 1 X+3 1 1 2 2 1 3 1 X+2 X+2 X X+1 X+3 1 X+2 3 X+3 1 X+2 1 1 1 3 2 1 X+2 1 1 X+2 X+2 X 3 X X+3 0 1 3 0 0 X 0 0 0 0 0 0 2 X+2 X X+2 2 0 X X X X+2 2 X+2 X+2 X X X 0 X+2 X 2 2 X X+2 X 2 0 X+2 0 2 2 2 0 2 0 X 2 0 X+2 2 X+2 X+2 X+2 0 X 0 X+2 2 0 X+2 X+2 2 2 0 0 X 0 2 X 2 X X+2 0 X+2 X+2 2 X+2 X+2 0 X X 2 0 0 0 X 0 0 X 2 X X+2 0 X+2 X X 0 0 2 X X+2 X+2 2 0 X 2 X+2 X X+2 X+2 X+2 2 2 0 X 2 X X X+2 X 2 X+2 X+2 0 X X X X 0 X+2 2 X 0 0 X+2 X+2 0 X+2 0 0 2 2 X 2 X 2 2 0 2 0 2 X+2 0 0 X+2 X 0 X 0 2 0 0 0 0 0 0 X 0 0 X+2 X+2 X+2 2 X X X+2 X X+2 0 0 0 X X+2 0 2 2 2 X X X+2 0 0 X+2 X+2 2 X+2 2 2 X 0 2 X+2 0 X+2 X+2 X X+2 0 2 X+2 0 X 0 X X 2 X+2 2 X+2 X+2 2 0 X 0 0 0 X 2 2 X+2 0 X X+2 X 2 2 X X 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 2 0 2 0 2 2 0 0 0 2 0 0 0 0 2 2 2 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 generates a code of length 80 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+214x^70+40x^71+544x^72+284x^73+845x^74+600x^75+1226x^76+1008x^77+1569x^78+1112x^79+1717x^80+1232x^81+1412x^82+912x^83+1189x^84+640x^85+762x^86+272x^87+391x^88+36x^89+187x^90+8x^91+81x^92+63x^94+26x^96+4x^98+7x^100+1x^104+1x^108 The gray image is a code over GF(2) with n=320, k=14 and d=140. This code was found by Heurico 1.16 in 37 seconds.